10552417671648 has 24 divisors (see below), whose sum is σ = 27700096388328. Its totient is φ = 3517472557184.

The previous prime is 10552417671623. The next prime is 10552417671701. The reversal of 10552417671648 is 84617671425501.

10552417671648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10552417671648² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54960508611 + ... + 54960508802.

It is an arithmetic number, because the mean of its divisors is an integer number (1154170682847).

Almost surely, 2^{10552417671648} is an apocalyptic number.

It is an amenable number.

10552417671648 is an abundant number, since it is smaller than the sum of its proper divisors (17147678716680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10552417671648 is a wasteful number, since it uses less digits than its factorization.

10552417671648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109921017426 (or 109921017418 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 10552417671648 in words is "ten trillion, five hundred fifty-two billion, four hundred seventeen million, six hundred seventy-one thousand, six hundred forty-eight".